Expert: Paul Klarreich - 6/21/2009

Question
Mathematically, what is a differential?  A) A gear box on the back end of your car.
B) A word used a lot on a popular medical television series.  C) A method of directly relating how changes in an independent variable affect changes in a dependent variable.  D) A method of directly relating how changes in a dependent variable affect changes in an independent variable.

What is the primary difference between using anti-differentiation when finding a definite versus an indefinite integral? A) Indefinite integrals don't have defined limits. B) Definite integrals have defined limits. C) The constant of integration, C.  D) There is no difference between definite and indefinite integrals.

What is the second step of performing anti-differentiation? A) Divide the coefficient by the old exponential value. B) Subtract the new exponential value from the coefficient. C) Multiply the coefficient by the new exponential value. D) Divide the coefficient by the new exponential value.


Answer
Questioner:   Blanca
Country:  United States
Category:  Calculus
Private:  No
 
Subject:  HELP IN CALCULUS
Question:  Mathematically, what is a differential?  

A) A gear box on the back end of your car.
B) A word used a lot on a popular medical television series.  C) A method of directly relating how changes in an independent variable affect changes in a dependent variable.  D) A method of directly relating how changes in a dependent variable affect changes in an independent variable.

Very funny.  I like A, but probably your teacher likes C.

What is the primary difference between using anti-differentiation when finding a definite versus an indefinite integral? A) Indefinite integrals don't have defined limits. B) Definite integrals have defined limits. C) The constant of integration, C.  D) There is no difference between definite and indefinite integrals.

I don't know -- they all look equally silly to me.

What is the second step of performing anti-differentiation?
A) Divide the coefficient by the old exponential value. B) Subtract the new exponential value from the coefficient. C) Multiply the coefficient by the new exponential value. D) Divide the coefficient by the new exponential value.

Your teacher wants D.  You should want a new teacher.

When you have something serious to ask, send it along.